TSTP Solution File: LAT269-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT269-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 03:49:49 EDT 2022
% Result : Unsatisfiable 0.45s 1.10s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT269-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 30 13:35:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.10 *** allocated 10000 integers for termspace/termends
% 0.45/1.10 *** allocated 10000 integers for clauses
% 0.45/1.10 *** allocated 10000 integers for justifications
% 0.45/1.10 Bliksem 1.12
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 Automatic Strategy Selection
% 0.45/1.10
% 0.45/1.10 Clauses:
% 0.45/1.10 [
% 0.45/1.10 [ ~( 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ) ) ],
% 0.45/1.10 [ 'c_in'( 'c_Tarski_OTop'( 'v_cl', 't_a' ), 'v_A', 't_a' ) ],
% 0.45/1.10 [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( Y, 'v_A', 't_a' ) ), 'c_in'(
% 0.45/1.10 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r', Y, X, 't_a'
% 0.45/1.10 ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', Y, X, 't_a' ),
% 0.45/1.10 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a', 'tc_Product__Type_Ounit'
% 0.45/1.10 ), 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.10 't_a', 'tc_Product__Type_Ounit' ) ), =( 'c_Tarski_Ointerval'( 'v_r', Y, X
% 0.45/1.10 , 't_a' ), 'c_emptyset' ) ],
% 0.45/1.10 [ =( 'v_intY1', 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ) ) ],
% 0.45/1.10 [ 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A', 't_a' ) ],
% 0.45/1.10 [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( =( 'c_Tarski_Ointerval'( 'v_r', X,
% 0.45/1.10 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'c_emptyset' ) ) ]
% 0.45/1.10 ] .
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 percentage equality = 0.300000, percentage horn = 0.833333
% 0.45/1.10 This is a problem with some equality
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 Options Used:
% 0.45/1.10
% 0.45/1.10 useres = 1
% 0.45/1.10 useparamod = 1
% 0.45/1.10 useeqrefl = 1
% 0.45/1.10 useeqfact = 1
% 0.45/1.10 usefactor = 1
% 0.45/1.10 usesimpsplitting = 0
% 0.45/1.10 usesimpdemod = 5
% 0.45/1.10 usesimpres = 3
% 0.45/1.10
% 0.45/1.10 resimpinuse = 1000
% 0.45/1.10 resimpclauses = 20000
% 0.45/1.10 substype = eqrewr
% 0.45/1.10 backwardsubs = 1
% 0.45/1.10 selectoldest = 5
% 0.45/1.10
% 0.45/1.10 litorderings [0] = split
% 0.45/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.10
% 0.45/1.10 termordering = kbo
% 0.45/1.10
% 0.45/1.10 litapriori = 0
% 0.45/1.10 termapriori = 1
% 0.45/1.10 litaposteriori = 0
% 0.45/1.10 termaposteriori = 0
% 0.45/1.10 demodaposteriori = 0
% 0.45/1.10 ordereqreflfact = 0
% 0.45/1.10
% 0.45/1.10 litselect = negord
% 0.45/1.10
% 0.45/1.10 maxweight = 15
% 0.45/1.10 maxdepth = 30000
% 0.45/1.10 maxlength = 115
% 0.45/1.10 maxnrvars = 195
% 0.45/1.10 excuselevel = 1
% 0.45/1.10 increasemaxweight = 1
% 0.45/1.10
% 0.45/1.10 maxselected = 10000000
% 0.45/1.10 maxnrclauses = 10000000
% 0.45/1.10
% 0.45/1.10 showgenerated = 0
% 0.45/1.10 showkept = 0
% 0.45/1.10 showselected = 0
% 0.45/1.10 showdeleted = 0
% 0.45/1.10 showresimp = 1
% 0.45/1.10 showstatus = 2000
% 0.45/1.10
% 0.45/1.10 prologoutput = 1
% 0.45/1.10 nrgoals = 5000000
% 0.45/1.10 totalproof = 1
% 0.45/1.10
% 0.45/1.10 Symbols occurring in the translation:
% 0.45/1.10
% 0.45/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.10 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.45/1.10 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.45/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.10 'v_intY1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.45/1.10 'v_r' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.45/1.10 't_a' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.45/1.10 'c_Tarski_Oinduced' [42, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.45/1.10 'c_Product__Type_OUnity' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/1.10 'tc_Product__Type_Ounit' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/1.10 'c_Tarski_Opotype_Opotype__ext' [45, 5] (w:1, o:58, a:1, s:1, b:0),
% 0.45/1.10 'c_Tarski_OCompleteLattice' [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type' [47, 2] (w:1, o:52, a:1, s:1
% 0.45/1.10 , b:0),
% 0.45/1.10 'c_in' [48, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.45/1.10 'v_cl' [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.45/1.10 'c_Tarski_OTop' [50, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.45/1.10 'v_A' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.10 'c_Tarski_Ointerval' [54, 4] (w:1, o:57, a:1, s:1, b:0),
% 0.45/1.10 'c_emptyset' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.45/1.10 'v_Y' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.45/1.10 'c_Tarski_Olub' [57, 3] (w:1, o:56, a:1, s:1, b:0).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 Starting Search:
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 Bliksems!, er is een bewijs:
% 0.45/1.10 % SZS status Unsatisfiable
% 0.45/1.10 % SZS output start Refutation
% 0.45/1.10
% 0.45/1.10 clause( 0, [ ~( 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ) ) ] )
% 0.45/1.10 .
% 0.45/1.10 clause( 1, [ 'c_in'( 'c_Tarski_OTop'( 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.45/1.10 .
% 0.45/1.10 clause( 2, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( Y, 'v_A', 't_a' ) )
% 0.45/1.10 , 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r', Y
% 0.45/1.10 , X, 't_a' ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', Y, X,
% 0.45/1.10 't_a' ), 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a',
% 0.45/1.10 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_Tarski_Ointerval'( 'v_r', Y, X, 't_a' ), 'c_emptyset' ) ] )
% 0.45/1.10 .
% 0.45/1.10 clause( 3, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y', 'v_cl'
% 0.45/1.10 , 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ] )
% 0.45/1.10 .
% 0.45/1.10 clause( 4, [ 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A', 't_a'
% 0.45/1.10 ) ] )
% 0.45/1.10 .
% 0.45/1.10 clause( 5, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( =( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', X, 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'c_emptyset' ) ) ]
% 0.45/1.10 )
% 0.45/1.10 .
% 0.45/1.10 clause( 7, [ ~( =( 'c_emptyset', 'v_intY1' ) ) ] )
% 0.45/1.10 .
% 0.45/1.10 clause( 13, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A',
% 0.45/1.10 't_a' ) ), 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ) ] )
% 0.45/1.10 .
% 0.45/1.10 clause( 14, [] )
% 0.45/1.10 .
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 % SZS output end Refutation
% 0.45/1.10 found a proof!
% 0.45/1.10
% 0.45/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.10
% 0.45/1.10 initialclauses(
% 0.45/1.10 [ clause( 16, [ ~( 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ) ) ] )
% 0.45/1.10 , clause( 17, [ 'c_in'( 'c_Tarski_OTop'( 'v_cl', 't_a' ), 'v_A', 't_a' ) ]
% 0.45/1.10 )
% 0.45/1.10 , clause( 18, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( Y, 'v_A', 't_a'
% 0.45/1.10 ) ), 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', Y, X, 't_a' ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', Y
% 0.45/1.10 , X, 't_a' ), 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a',
% 0.45/1.10 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_Tarski_Ointerval'( 'v_r', Y, X, 't_a' ), 'c_emptyset' ) ] )
% 0.45/1.10 , clause( 19, [ =( 'v_intY1', 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'(
% 0.45/1.10 'v_Y', 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ) ) ] )
% 0.45/1.10 , clause( 20, [ 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A',
% 0.45/1.10 't_a' ) ] )
% 0.45/1.10 , clause( 21, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( =( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', X, 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'c_emptyset' ) ) ]
% 0.45/1.10 )
% 0.45/1.10 ] ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 0, [ ~( 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ) ) ] )
% 0.45/1.10 , clause( 16, [ ~( 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ) ) ] )
% 0.45/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 1, [ 'c_in'( 'c_Tarski_OTop'( 'v_cl', 't_a' ), 'v_A', 't_a' ) ] )
% 0.45/1.10 , clause( 17, [ 'c_in'( 'c_Tarski_OTop'( 'v_cl', 't_a' ), 'v_A', 't_a' ) ]
% 0.45/1.10 )
% 0.45/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 2, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( Y, 'v_A', 't_a' ) )
% 0.45/1.10 , 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r', Y
% 0.45/1.10 , X, 't_a' ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', Y, X,
% 0.45/1.10 't_a' ), 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a',
% 0.45/1.10 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_Tarski_Ointerval'( 'v_r', Y, X, 't_a' ), 'c_emptyset' ) ] )
% 0.45/1.10 , clause( 18, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( Y, 'v_A', 't_a'
% 0.45/1.10 ) ), 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', Y, X, 't_a' ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', Y
% 0.45/1.10 , X, 't_a' ), 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a',
% 0.45/1.10 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_Tarski_Ointerval'( 'v_r', Y, X, 't_a' ), 'c_emptyset' ) ] )
% 0.45/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.10 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 eqswap(
% 0.45/1.10 clause( 28, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ]
% 0.45/1.10 )
% 0.45/1.10 , clause( 19, [ =( 'v_intY1', 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'(
% 0.45/1.10 'v_Y', 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ) ) ] )
% 0.45/1.10 , 0, substitution( 0, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 3, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y', 'v_cl'
% 0.45/1.10 , 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ] )
% 0.45/1.10 , clause( 28, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ]
% 0.45/1.10 )
% 0.45/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 4, [ 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A', 't_a'
% 0.45/1.10 ) ] )
% 0.45/1.10 , clause( 20, [ 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A',
% 0.45/1.10 't_a' ) ] )
% 0.45/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 5, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( =( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', X, 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'c_emptyset' ) ) ]
% 0.45/1.10 )
% 0.45/1.10 , clause( 21, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( =( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', X, 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'c_emptyset' ) ) ]
% 0.45/1.10 )
% 0.45/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.10 1 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 eqswap(
% 0.45/1.10 clause( 38, [ ~( =( 'c_emptyset', 'c_Tarski_Ointerval'( 'v_r', X,
% 0.45/1.10 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ) ) ), ~( 'c_in'( X, 'v_A', 't_a'
% 0.45/1.10 ) ) ] )
% 0.45/1.10 , clause( 5, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( =( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', X, 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'c_emptyset' ) ) ]
% 0.45/1.10 )
% 0.45/1.10 , 1, substitution( 0, [ :=( X, X )] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 resolution(
% 0.45/1.10 clause( 40, [ ~( =( 'c_emptyset', 'c_Tarski_Ointerval'( 'v_r',
% 0.45/1.10 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' )
% 0.45/1.10 , 't_a' ) ) ) ] )
% 0.45/1.10 , clause( 38, [ ~( =( 'c_emptyset', 'c_Tarski_Ointerval'( 'v_r', X,
% 0.45/1.10 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ) ) ), ~( 'c_in'( X, 'v_A', 't_a'
% 0.45/1.10 ) ) ] )
% 0.45/1.10 , 1, clause( 4, [ 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A',
% 0.45/1.10 't_a' ) ] )
% 0.45/1.10 , 0, substitution( 0, [ :=( X, 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ) )] )
% 0.45/1.10 , substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 paramod(
% 0.45/1.10 clause( 41, [ ~( =( 'c_emptyset', 'v_intY1' ) ) ] )
% 0.45/1.10 , clause( 3, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ]
% 0.45/1.10 )
% 0.45/1.10 , 0, clause( 40, [ ~( =( 'c_emptyset', 'c_Tarski_Ointerval'( 'v_r',
% 0.45/1.10 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' )
% 0.45/1.10 , 't_a' ) ) ) ] )
% 0.45/1.10 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 7, [ ~( =( 'c_emptyset', 'v_intY1' ) ) ] )
% 0.45/1.10 , clause( 41, [ ~( =( 'c_emptyset', 'v_intY1' ) ) ] )
% 0.45/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 eqswap(
% 0.45/1.10 clause( 44, [ =( 'c_emptyset', 'c_Tarski_Ointerval'( 'v_r', X, Y, 't_a' ) )
% 0.45/1.10 , ~( 'c_in'( Y, 'v_A', 't_a' ) ), ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'(
% 0.45/1.10 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r', X, Y, 't_a'
% 0.45/1.10 ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', X, Y, 't_a' ),
% 0.45/1.10 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a', 'tc_Product__Type_Ounit'
% 0.45/1.10 ), 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.10 't_a', 'tc_Product__Type_Ounit' ) ) ] )
% 0.45/1.10 , clause( 2, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( Y, 'v_A', 't_a' )
% 0.45/1.10 ), 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r'
% 0.45/1.10 , Y, X, 't_a' ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', Y, X,
% 0.45/1.10 't_a' ), 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a',
% 0.45/1.10 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_Tarski_Ointerval'( 'v_r', Y, X, 't_a' ), 'c_emptyset' ) ] )
% 0.45/1.10 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 paramod(
% 0.45/1.10 clause( 82, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'(
% 0.45/1.10 'v_r', 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl',
% 0.45/1.10 't_a' ), 't_a' ), 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ),
% 0.45/1.10 'c_Product__Type_OUnity', 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.10 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.10 't_a', 'tc_Product__Type_Ounit' ) ), =( 'c_emptyset',
% 0.45/1.10 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ),
% 0.45/1.10 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ) ), ~( 'c_in'( 'c_Tarski_OTop'(
% 0.45/1.10 'v_cl', 't_a' ), 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , clause( 3, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ]
% 0.45/1.10 )
% 0.45/1.10 , 0, clause( 44, [ =( 'c_emptyset', 'c_Tarski_Ointerval'( 'v_r', X, Y,
% 0.45/1.10 't_a' ) ), ~( 'c_in'( Y, 'v_A', 't_a' ) ), ~( 'c_in'( X, 'v_A', 't_a' ) )
% 0.45/1.10 , 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r', X
% 0.45/1.10 , Y, 't_a' ), 'c_Tarski_Oinduced'( 'c_Tarski_Ointerval'( 'v_r', X, Y,
% 0.45/1.10 't_a' ), 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a',
% 0.45/1.10 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ) ] )
% 0.45/1.10 , 3, 13, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Tarski_Olub'(
% 0.45/1.10 'v_Y', 'v_cl', 't_a' ) ), :=( Y, 'c_Tarski_OTop'( 'v_cl', 't_a' ) )] )
% 0.45/1.10 ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 paramod(
% 0.45/1.10 clause( 84, [ =( 'c_emptyset', 'v_intY1' ), 'c_in'(
% 0.45/1.10 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r',
% 0.45/1.10 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' )
% 0.45/1.10 , 't_a' ), 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ),
% 0.45/1.10 'c_Product__Type_OUnity', 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.10 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.10 't_a', 'tc_Product__Type_Ounit' ) ), ~( 'c_in'( 'c_Tarski_OTop'( 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , clause( 3, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ]
% 0.45/1.10 )
% 0.45/1.10 , 0, clause( 82, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'(
% 0.45/1.10 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ),
% 0.45/1.10 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'c_Tarski_Oinduced'( 'v_intY1'
% 0.45/1.10 , 'v_r', 't_a' ), 'c_Product__Type_OUnity', 't_a',
% 0.45/1.10 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y'
% 0.45/1.10 , 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ) ), ~( 'c_in'(
% 0.45/1.10 'c_Tarski_OTop'( 'v_cl', 't_a' ), 'v_A', 't_a' ) ), ~( 'c_in'(
% 0.45/1.10 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 paramod(
% 0.45/1.10 clause( 85, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ), ~( 'c_in'( 'c_Tarski_OTop'( 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , clause( 3, [ =( 'c_Tarski_Ointerval'( 'v_r', 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' ), 't_a' ), 'v_intY1' ) ]
% 0.45/1.10 )
% 0.45/1.10 , 0, clause( 84, [ =( 'c_emptyset', 'v_intY1' ), 'c_in'(
% 0.45/1.10 'c_Tarski_Opotype_Opotype__ext'( 'c_Tarski_Ointerval'( 'v_r',
% 0.45/1.10 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'c_Tarski_OTop'( 'v_cl', 't_a' )
% 0.45/1.10 , 't_a' ), 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ),
% 0.45/1.10 'c_Product__Type_OUnity', 't_a', 'tc_Product__Type_Ounit' ),
% 0.45/1.10 'c_Tarski_OCompleteLattice', 'tc_Tarski_Opotype_Opotype__ext__type'(
% 0.45/1.10 't_a', 'tc_Product__Type_Ounit' ) ), ~( 'c_in'( 'c_Tarski_OTop'( 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 resolution(
% 0.45/1.10 clause( 91, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ), ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , clause( 85, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ), ~( 'c_in'( 'c_Tarski_OTop'( 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl',
% 0.45/1.10 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , 2, clause( 1, [ 'c_in'( 'c_Tarski_OTop'( 'v_cl', 't_a' ), 'v_A', 't_a' )
% 0.45/1.10 ] )
% 0.45/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 13, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A',
% 0.45/1.10 't_a' ) ), 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ) ] )
% 0.45/1.10 , clause( 91, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ), ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y',
% 0.45/1.10 'v_cl', 't_a' ), 'v_A', 't_a' ) ) ] )
% 0.45/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2
% 0.45/1.10 , 0 )] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 resolution(
% 0.45/1.10 clause( 95, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ) ] )
% 0.45/1.10 , clause( 13, [ ~( 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A',
% 0.45/1.10 't_a' ) ), 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ) ] )
% 0.45/1.10 , 0, clause( 4, [ 'c_in'( 'c_Tarski_Olub'( 'v_Y', 'v_cl', 't_a' ), 'v_A',
% 0.45/1.10 't_a' ) ] )
% 0.45/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 resolution(
% 0.45/1.10 clause( 96, [ =( 'c_emptyset', 'v_intY1' ) ] )
% 0.45/1.10 , clause( 0, [ ~( 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ) ) ] )
% 0.45/1.10 , 0, clause( 95, [ 'c_in'( 'c_Tarski_Opotype_Opotype__ext'( 'v_intY1',
% 0.45/1.10 'c_Tarski_Oinduced'( 'v_intY1', 'v_r', 't_a' ), 'c_Product__Type_OUnity'
% 0.45/1.10 , 't_a', 'tc_Product__Type_Ounit' ), 'c_Tarski_OCompleteLattice',
% 0.45/1.10 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 0.45/1.10 ), =( 'c_emptyset', 'v_intY1' ) ] )
% 0.45/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 resolution(
% 0.45/1.10 clause( 97, [] )
% 0.45/1.10 , clause( 7, [ ~( =( 'c_emptyset', 'v_intY1' ) ) ] )
% 0.45/1.10 , 0, clause( 96, [ =( 'c_emptyset', 'v_intY1' ) ] )
% 0.45/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 subsumption(
% 0.45/1.10 clause( 14, [] )
% 0.45/1.10 , clause( 97, [] )
% 0.45/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 end.
% 0.45/1.10
% 0.45/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.10
% 0.45/1.10 Memory use:
% 0.45/1.10
% 0.45/1.10 space for terms: 573
% 0.45/1.10 space for clauses: 2362
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 clauses generated: 49
% 0.45/1.10 clauses kept: 15
% 0.45/1.10 clauses selected: 9
% 0.45/1.10 clauses deleted: 1
% 0.45/1.10 clauses inuse deleted: 0
% 0.45/1.10
% 0.45/1.10 subsentry: 186
% 0.45/1.10 literals s-matched: 63
% 0.45/1.10 literals matched: 63
% 0.45/1.10 full subsumption: 13
% 0.45/1.10
% 0.45/1.10 checksum: -1325003588
% 0.45/1.10
% 0.45/1.10
% 0.45/1.10 Bliksem ended
%------------------------------------------------------------------------------